Question

which is the graph of the sequence defined by the function f(x+1)=3/5 f(x) when the first term in the sequence in 375?

Answer 1

Option A is the correct answer.

Answer 2

The first graph is of the sequence defined by the given function.

Explanation:

Given the graph of sequence defined by the function

`f(x+1)=(3)/(5)f(x)`

when the first term is in the sequence is 375 i.e f(1)=375

`f(1+1)=f(2)=(3)/(5)f(1)=(3)/(5)* 375=225\\\\f(2+1)=f(3)=(3)/(5)f(2)=(3)/(5)* 225=135\\\\f(3+1)=f(4)=(3)/(5)f(3)=(3)/(5)* 135=81`

Hence, in coordinate points becomes

(1,375), (2,225), (3,135), (4,81)

∴ The first graph is of the sequence defined by the given function.